Constructing irreducible integrable modules for extended baby TKK algebra  

作　　者：CHANG XueWu CHEN FuLin TAN ShaoBin 

机构地区：[1]School of Mathematical Sciences, Xiamen University, Xiamen 361005, China [2]School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China

出　　处：《Science China Mathematics》2012年第12期2417-2432,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.10931006);the PhD Programs Foundation of Ministry of Education of China (Grant No. 20100121110014)

摘　　要：In this paper, we give explicit realizations for the irreducible integrable modules, which were clas- sified in Chang and Tan [Pacific J Math, 2011, 252: 293-312], of the extended baby TKK algebra. Moreover, conditions for these modules to be unitary are determined.In this paper, we give explicit realizations for the irreducible integrable modules, which were clas-sified in Chang and Tan [Pacific J Math, 2011, 252： 293–312], of the extended baby TKK algebra. Moreover, conditions for these modules to be unitary are determined.

关 键 词：TKK algebra extended affine Lie algebra integrable module unitary module 

分 类 号：O153.1[理学—数学] TP311.13[理学—基础数学]